3667315877120 has 576 divisors, whose sum is σ = 10862439469056. Its totient is φ = 1157791088640.

The previous prime is 3667315877111. The next prime is 3667315877149. The reversal of 3667315877120 is 217785137663.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1352752565 + ... + 1352755275.

It is an arithmetic number, because the mean of its divisors is an integer number (18858401856).

Almost surely, 2^{3667315877120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3667315877120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5431219734528).

3667315877120 is an abundant number, since it is smaller than the sum of its proper divisors (7195123591936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3667315877120 is a wasteful number, since it uses less digits than its factorization.

3667315877120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2946 (or 2932 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 56.

The spelling of 3667315877120 in words is "three trillion, six hundred sixty-seven billion, three hundred fifteen million, eight hundred seventy-seven thousand, one hundred twenty".